ISSN:0044-2267    

DOI:10.1002/zamm.19660460702

出版商:WILEY‐VCH Verlag    

年代:1966

数据来源: WILEY

摘要:

AbstractIn a previous paper by the author [1], fracture surfaces of round bars under pure torsion are considered. To exclude the effects on the stress distribution of the displacements along the axis of the bar, it was assumed that the bar is made of plastic‐rigid material. This insured that the bar remained in pure torsion. In this paper a more realistic case is considered which includes the effects of the axial stress in a round bar under torsion when the two ends of the bar are confined to lie in fixed planes. Such a case will be denoted by the shorter term „fixed ends”︁, and the therm „free ends”︁ will be used when there is no such restriction. For the case of pure torsion it was shown that the bar is most likely to fracture on a helicoidal surface whose intersection with the cylindrical surface of the bar is a helix making a 45º with the generator of the cylinder. In this paper, it is shown that a bar with fixed ends under torsion is subject to fracture along a

ISSN:0044-2267    

DOI:10.1002/zamm.19660460703

出版商:WILEY‐VCH Verlag    

年代:1966

数据来源: WILEY

摘要:

AbstractSeth's transition theory of creep, which neither requires the creep laws nor the yield criteria and the associated flow rules, has been used to derive the creep stresses in shells under uniform internal pressure when the steady state creep has been reached. It has been shown here that the creep stresses and the assumed stress‐strain rate relations are the same as those given by Bailey. It is also found that the transition points may be multiple points and may therefore be used for finding either plastic or creep stresses depending upon the transition functions. This theory can be also readily applied to the primary and tertiary states of cree

ISSN:0044-2267    

DOI:10.1002/zamm.19660460704

出版商:WILEY‐VCH Verlag    

年代:1966

数据来源: WILEY

摘要:

AbstractAn exact solution is presented for the steady laminar flow of a viscous, incompressible, electrically conducting liquid in a rectangular pipe between conducting plates under the influence of an imposed transverse magnetic field. The problem is of particular interest since it is one of the few in which the induced magnetic field can be matched between the liquid and the plates. Numerical results are included for the exact solution and for an asymptotic representation suitable for large Hartmann numbers.

ISSN:0044-2267    

DOI:10.1002/zamm.19660460705

出版商:WILEY‐VCH Verlag    

年代:1966

数据来源: WILEY

摘要:

AbstractThe flow of a general incompressible second‐order viscoelastic fluid is described by a third‐order nonlinear vectorial partial differential equation. We here discuss the theory of that equation for the case in which the fluid is flowing between two parallel plates with separation h. We show that for certain critical channell‐widths has flow which is initially a laminar shearing flow cannot remain so. In fact, for these critical values of h, if there is any flow at all the departure from shearing flow must appear instantly in the first time‐derivative of the velocity. This result, which has no analogue in the Navier‐Stokes theory, sheds light on a nonexistence theorem obtained by Coleman, Duffin, and Mizel [6] for the linear equation describing second‐order fluids in sh

ISSN:0044-2267    

DOI:10.1002/zamm.19660460706

出版商:WILEY‐VCH Verlag    

年代:1966

数据来源: WILEY

摘要:

AbstractIt is shown that if a change of the argument function is made in a functional the value of the n‐th order Coleman‐Noll approximation is unaltered. The result means, for example, that any suitably invariant measure of strain may be used in developing an approximation to a functional constitutive equation in continuum mechanics. Also, the transformation of an approximation from one strain measure to another is develo

ISSN:0044-2267    

DOI:10.1002/zamm.19660460707

出版商:WILEY‐VCH Verlag    

年代:1966

数据来源: WILEY

摘要:

AbstractThis paper is devoted to a study of boundary layer flow of certain second‐order fluids around a periodically oscillating cylinder. The velocity field is obtained by a process of successive approximations. In the region near the wall the stream lines of the secondary flow are closed loops while away from the wall they are U‐sha

ISSN:0044-2267    

DOI:10.1002/zamm.19660460708

出版商:WILEY‐VCH Verlag    

年代:1966

数据来源: WILEY

摘要:

AbstractNach einer Methode von Jakubowitsch findet man Ungleichungen zur Bestimmung von Bereichen kinetischer Instabilität für ein lineares Differentialgleichungssystem mit (komplexen)periodischen Koeffizienten, die analytisch von einem kleinen Parameter ε abhängen. Für ε= 0 soll das Ausgangssystem in ein kanonisches System mit konstanten Koeffizienten übergehen. Als Anwendungsbeispiel werden Biegeschwingungen zweier koaxialer Wellen mit Schwungscheiben am Ende bei konstanten Drehzahlen unte

ISSN:0044-2267    

DOI:10.1002/zamm.19660460709

出版商:WILEY‐VCH Verlag    

年代:1966

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19660460710

出版商:WILEY‐VCH Verlag    

年代:1966

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19660460711

出版商:WILEY‐VCH Verlag    

年代:1966

数据来源: WILEY